English Explanatory Dictionary

Bernoulli number

English dictionary entry

Meanings

noun
  1. Any one of the rational numbers in a sequence of such that appears in numerous contexts, including formulae for sums of integer powers and certain power series expansions.

Word forms

Bernoulli number Bernoulli numbers Bernoulli's number

Etymology

Named after Swiss mathematician Jacob Bernoulli (1654–1705), who discovered the numbers independently of and at about the same time as Japanese mathematician Seki Kōwa. The numbers first appeared as coefficients in Bernoulli's formulae for the sum of the first n positive integers, each raised to a given power. The sequence was subsequently found in numerous other contexts.

Related words

Bernoulli polynomial
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